caa a22 4500 477091512 CHVBK 20180405111516.0 cr unu---uuuuu 170330e19960901xx s 000 0 eng 10.1007/BF01194069 doi (NATIONALLICENCE)springer-10.1007/BF01194069 Ancona Fabio International School for Advanced Studies, S.I.S.S.A., via Beirut n. 2-4, 34014, Trieste, Italy aut Normal forms for vector fields with respect to an arbitrary dilation [Elektronische Daten] [Fabio Ancona] Homogenous vector fields of degree one with respect to an arbitrary dilation δ ε r may be regarded as a natural extension of the linear vector fields. This paper is concerned with the problem of computing normal forms for vector fields that can be expanded in terms of homogeneous fields of degree greater than or equal to one with respect to an arbitrary dilation δ ε r . In particular, necessary and sufficient conditions are given for the existence of a local coordinate change that transforms an analytic field into a homogeneous field of degree one with respect to an arbitrary dilation δ ε r . Birkhäuser Verlag, 1996 Homogeneous vector fields nationallicence Nonlinear vector fields nationallicence Normal forms nationallicence Nonlinear Differential Equations and Applications NoDEA Birkhäuser-Verlag 3/3(1996-09-01), 305-322 1021-9722 3:3<305 1996 3 30 https://doi.org/10.1007/BF01194069 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01194069 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Ancona Fabio International School for Advanced Studies, S.I.S.S.A., via Beirut n. 2-4, 34014, Trieste, Italy aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Birkhäuser-Verlag 3/3(1996-09-01), 305-322 1021-9722 3:3<305 1996 3 30 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer